4x-1/x-1=4*(x+2)/x+1

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Solution for 4x-1/x-1=4*(x+2)/x+1 equation: 


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

4*x-(1/x)-1 = (4*(x+2))/x+1 // - (4*(x+2))/x+1

4*x-((4*(x+2))/x)-(1/x)-1-1 = 0

4*x-4*x^-1*(x+2)-x^-1-1-1 = 0

4*x-4*x^-1*(x+2)-1/x-1-1 = 0

(-4*x^-1*x*(x+2))/x+(4*x*x)/x-1/x+(-1*x)/x+(-1*x)/x = 0

4*x*x-4*x^-1*x*(x+2)-1*x-1*x-1 = 0

4*x^2-4*x-x-x-8-1 = 0

4*x^2-4*x-x-x-9 = 0

4*x^2-5*x-x-9 = 0

4*x^2-6*x-9 = 0

4*x^2-6*x-9 = 0

4*x^2-6*x-9 = 0

DELTA = (-6)^2-(-9*4*4)

DELTA = 180

DELTA > 0

x = (180^(1/2)+6)/(2*4) or x = (6-180^(1/2))/(2*4)

x = (6*5^(1/2)+6)/8 or x = (6-6*5^(1/2))/8

(x-((6-6*5^(1/2))/8))*(x-((6*5^(1/2)+6)/8)) = 0

((x-((6-6*5^(1/2))/8))*(x-((6*5^(1/2)+6)/8)))/x = 0

((x-((6-6*5^(1/2))/8))*(x-((6*5^(1/2)+6)/8)))/x = 0 // * x

(x-((6-6*5^(1/2))/8))*(x-((6*5^(1/2)+6)/8)) = 0

( x-((6*5^(1/2)+6)/8) )

x-((6*5^(1/2)+6)/8) = 0 // + (6*5^(1/2)+6)/8

x = (6*5^(1/2)+6)/8

( x-((6-6*5^(1/2))/8) )

x-((6-6*5^(1/2))/8) = 0 // + (6-6*5^(1/2))/8

x = (6-6*5^(1/2))/8

x in { (6*5^(1/2)+6)/8, (6-6*5^(1/2))/8 }

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